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Simplifying 12x + 8 = ((2x + 3) * 2) * 9 Reorder the terms: 8 + 12x = ((2x + 3) * 2) * 9 Reorder the terms: 8 + 12x = ((3 + 2x) * 2) * 9 Reorder the terms for easier multiplication: 8 + 12x = (2(3 + 2x)) * 9 8 + 12x = ((3 * 2 + 2x * 2)) * 9 8 + 12x = ((6 + 4x)) * 9 Reorder the terms for easier multiplication: 8 + 12x = 9(6 + 4x) 8 + 12x = (6 * 9 + 4x * 9) 8 + 12x = (54 + 36x) Solving 8 + 12x = 54 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 8 + 12x + -36x = 54 + 36x + -36x Combine like terms: 12x + -36x = -24x 8 + -24x = 54 + 36x + -36x Combine like terms: 36x + -36x = 0 8 + -24x = 54 + 0 8 + -24x = 54 Add '-8' to each side of the equation. 8 + -8 + -24x = 54 + -8 Combine like terms: 8 + -8 = 0 0 + -24x = 54 + -8 -24x = 54 + -8 Combine like terms: 54 + -8 = 46 -24x = 46 Divide each side by '-24'. x = -1.916666667 Simplifying x = -1.916666667
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